★ Going to calculate the value of “Sum of infinite Natural Numbers”
★ Detect the fault if you can! ★
________________________
Let S = 1 + 2 + 3 + 4 + 5 + ..........
=> S = 1 + (2 + 3 + 4) + (5 + 6 + 7) + (8 + 9 + 10).......
=> S = 1 + 9 + 18 + 27 +..........
=> S = 1 + 9(1 + 2 + 3 + 4 +......)
=> S = 1 + 9(S)
=> 8S = -1
★Therefore, Sum of infinite natural numbers is -1/8.★
Answers
Answered by
9
1 +2+3+4+5+6
{2+3+4) +(5+6+7)+ (8+9+10+ (11+12+13)
1+ 9+18+27+36
1+9(1+2+3+4+5+6 )
the sum of infinite natural number is 1/8
a = 1/2
r= 1/4 / 1/2 = 1/2
S = a/ 1-r ( r<1
.
1/2 / 1 - 1/2
= 1/2 /- 1/2
.
so its answer is
S =1
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3
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